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Finding the Third Proportional to 261,790.50 and 384,369

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Solution

The third proportional to 261,790.50 and 384,369 is: 564,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,790.50 : 384,369 = 384,369 : x
  2. Step 2: Convert to fraction form
    261,790.50/384,369 = 384,369/x
  3. Step 3: Cross multiply
    261,790.50x = 384,369 × 384,369
  4. Step 4: Simplify right side
    261,790.50x = 147,739,528,161
  5. Step 5: Solve for x
    x = 147,739,528,161/261,790.50
  6. Step 6: Final answer
    x = 564,342.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.